6(3z-1)-2(z+5)=11(z+1)

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Solution for 6(3z-1)-2(z+5)=11(z+1) equation:


Simplifying
6(3z + -1) + -2(z + 5) = 11(z + 1)

Reorder the terms:
6(-1 + 3z) + -2(z + 5) = 11(z + 1)
(-1 * 6 + 3z * 6) + -2(z + 5) = 11(z + 1)
(-6 + 18z) + -2(z + 5) = 11(z + 1)

Reorder the terms:
-6 + 18z + -2(5 + z) = 11(z + 1)
-6 + 18z + (5 * -2 + z * -2) = 11(z + 1)
-6 + 18z + (-10 + -2z) = 11(z + 1)

Reorder the terms:
-6 + -10 + 18z + -2z = 11(z + 1)

Combine like terms: -6 + -10 = -16
-16 + 18z + -2z = 11(z + 1)

Combine like terms: 18z + -2z = 16z
-16 + 16z = 11(z + 1)

Reorder the terms:
-16 + 16z = 11(1 + z)
-16 + 16z = (1 * 11 + z * 11)
-16 + 16z = (11 + 11z)

Solving
-16 + 16z = 11 + 11z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-11z' to each side of the equation.
-16 + 16z + -11z = 11 + 11z + -11z

Combine like terms: 16z + -11z = 5z
-16 + 5z = 11 + 11z + -11z

Combine like terms: 11z + -11z = 0
-16 + 5z = 11 + 0
-16 + 5z = 11

Add '16' to each side of the equation.
-16 + 16 + 5z = 11 + 16

Combine like terms: -16 + 16 = 0
0 + 5z = 11 + 16
5z = 11 + 16

Combine like terms: 11 + 16 = 27
5z = 27

Divide each side by '5'.
z = 5.4

Simplifying
z = 5.4

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